consider the Following equation.
[tex]4x + 3y = 7[/tex]
Determine the missing coordinate in the orderd pair (-4,?) so that it will satisfy the given equation.
Answer: (-4,______)​

Correct question is;

The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?

Answer:

sinθ = (√544)/25) and cosθ = 9/25

Step-by-step explanation:

We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;

(9/25)² + y² = 1²

y² = 1 - (9/25)²

y² = (625 - 81)/25²

y² = 544/25²

y = ±(√544)/25

We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.

Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]

In unit circle geometry, cosθ = x, while sinθ = y.

Thus; sinθ = (√544)/25) and cosθ = 9/25

The exact value of [tex]sin\theta[/tex] and [tex]cos\theta[/tex] is  [tex]cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex] and this can be determined by forming the equation of circle.

Given :

The terminal side of angle [tex]\theta[/tex] intersect at unit circle ([tex]\frac{9}{25}, y[/tex]).

From general representation of equation of circle , we can write

[tex]x^{2} + y^{2} = a^{2}\\[/tex]

[tex](\frac{9^{2} }{25^{2} })[/tex] + [tex]y^{2} = 1^{2}[/tex]

[tex]y^{2} = 1 - \frac{81}{625}[/tex]

[tex]y^{2} = \frac{625-81}{625}[/tex]

[tex]y^{2}=\frac{544}{625}[/tex]

Taking square root both sides

[tex]y= \frac{\sqrt{544} }{\sqrt{625} }[/tex]

[tex]y = \frac{\sqrt{544} }{25}[/tex]

We are taking only because point  lies in first quadrant.

The terminal side of angel [tex]\theta[/tex] unit circle in first quadrant at [tex](\frac{9}{25} , \frac{\sqrt{544} }{25})[/tex]

In unit circle

[tex]x = cos\theta , y = sin\theta[/tex]

[tex]\rm cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex].

For more information click on the link gives below

https://brainly.com/question/23841023

Answer:

7, 9, 11

Step-by-step explanation:

x+x+2+x+4=5(x+2)-18

3x+6=5x+10-18

3x+6=5x+-8

3x=5x+-14

-2x=-14

x=7

Answer:

A. The two rays form angle CAB.

C. The two rays make a line AC.

D. The two rays intersect at point A.

E. The two rays are perpendicular.

This is shown in figure 1 in the attachment provided.

Step-by-step explanation:

The given rays, [tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] shows that both rays have a common endpoint A.

Therefore, the following conditions exists:

A. "The two rays form angle CAB."

Take a look at figure 1 in the attachment provided below. The two rays meet at point A to form angle CAB.

C. "The two rays make a line AC."

As shown in figure 2 in the attachment provided below, [[tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] have a common end point, A, and they extend in opposite directions to form a straight line AC. [tex] (\overline{AC}) [/tex]

D. "The two rays intersect at point A."

This is shown in figure 1 in the attachment provided.

E. "The two rays are perpendicular."

Since [tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] intersect at point A, they are perpendicular to each other, forming a right angle at point A. This we can see in figure 2 provided in the attachment.

Answer:

The surface area of the log including the ends and the inside is 80424.8 cm²

Step-by-step explanation:

To determine the surface area of the log with hollow center including the ends and the inside, we will find the surface area of the outer part of the log, surface area of the inner part of the log and the surface area of the two ends; and then sum everything up.

From the question,

Diameter of log = 60 cm

Length of log = 3 m = 300 cm

Diameter of hollow center = 20 cm

For the surface area of the outer part,

Area of the outer part = Circumference of the outer part × length

Circumference = 2πr = πd

∴ Area of the outer part = πd × l

(NOTE: d here is the diameter of the log)

d = 60 cm and l = 300 cm

Area of the outer part = 60π × 300 = 18000π cm²

For the surface area of the inner part,

Area of the inner part = Circumference of the inner part × length = πd × l

(NOTE: d here is the diameter of the hollow center)

d = 20 cm and l = 300 cm

Area of the inner part = 20π × 300 = 6000π cm²

For the surface area of one end

This is the difference between the area of the outer end and the area of the inner end

Here, we can determine the area by using

Area = πr², where r is the radius

Radius = Diameter / 2

Radius of outer end (R) = Diameter of log / 2 = 60cm / 2 = 30cm

Radius of inner end (r) = Diameter of hollow center / 2 = 20cm / 2 = 10 cm

∴ Surface area of one end = πR² - πr² = π(R²-r²)

= π (30²-10²)

= π (900 - 100)

= 800π cm²

This is the area of one end

For the two ends,

Area of the two ends = 2 × 800π cm² = 1600π cm²

Hence, the surface area of the log is 18000π cm² + 6000π cm² + 1600π cm²

Surface area of the log = 25600π cm²

Putting the value of π (π = 3.141592654)

Surface area of the log = 25600 × 3.141592654 cm²

Surface area of the log = 80424.77193 cm²

Surface area of the log = 80424.8 cm²

Hence, the surface area of the log including the ends and the inside is 80424.8 cm² (to one decimal place)

Answer:

The hypothesis test is right tailed because of claim made by SEO account manager that a web page on average has more than 10 keywords.

Step-by-step explanation:

The given hypothesis test is right tailed due to the claim made by SEO account manager. The tail of hypothesis test decided by looking at alternative hypothesis. The claim stated as " a web on average has more than 10 keywords" and this leads to alternative hypothesis as

Ha:μ>10.

The alternative hypothesis shows the greater than area or also known as right tailed area. Thus, given hypothesis test is right tailed.

Answer:

B and C are similar to A but E is same as A.

Answer:

There are 12 left-handed players in the league

Step-by-step explanation:

Let us solve the problem

∵ A local little league has a total of 60 players

∵ 20% of them are left-handed

→ Find 20% of 60

∴ The number of left-handed players = 20% × 60

→ Change 20% to a decimal

∵ 20% = [tex]\frac{20}{100}[/tex] = 0.20

∴ The number of left-handed players = 0.20 × 60

∴ The number of left-handed players = 12

∴ There are 12 left-handed players in the league

Answer:

Bar graphs are used with nominal or ordinal scores; histograms are used with interval or ratio scores.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

cause 2+2 is 4 and 2x2 is four and since u put - it take it away a then divide 0 by 2 u get 0

Answer:

random numbers

Step-by-step explanation:

because they are randomly picked

Unpredictable numbers that are distributed over a certain range are _Random numbers_.

Random experiments are repeated multiple times to determine its likelihood.  

The number of times an experiment is repeated is better described as number of trials.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Now, Unpredictable numbers that are distributed over a certain range are random numbers because they are randomly picked.

Unpredictable numbers that are distributed over a certain range are _Random numbers_.

To Learn more about Random numbers, click here;

https://brainly.com/question/3798851

#SPJ5

Answer:

0.712 cents per pound

Step-by-step explanation:

Since we are given the exact amount of each ingredient as well as the price for that amount then we simply need to calculate how much each pound of the confetti actually costs. We do this by adding together all of the pound of all of the ingredients and then adding together all of the costs. Lastly, we divide the cost by the total amount of pounds to find the cost per pound of the confetti like so...

3lbs. + 5lbs. + 3lbs. = 11 lbs.

$2.46 + $3.05 + $2.33 = $7.84

$7.84 / 11 lbs. = 0.712 cents per pound

Therefore, the cost per pound of the confetti is 0.712 cents per pound

Answer:

1 oz

Step-by-step explanation:

Given that:

% solution of super grow fertilizer = 10%

To obtain mixture of 36oz of a 12.5% concentration

Let oz of pure supergrowth to be added = s

(Initial % * (36 - s) + s) / 36 = target concentration

(10% * (36 - s) + s) / 36 = 12.5%

(0.1(36 - s) + s) / 36 = 0.125

Cross multiply:

0.1(36 - s) + s =. 0.125 * 36

3.6 - 0.1s + s = 4.5

3.6 + 0.9s = 4.5

0.9s = 4.5 - 3.6

0.9s = 0.9

s =. 0.9/0.9

s = 1

Hence, 1 oz of pure supergrowth should be added to the 10% solution to get 36 oz of a 12.5% concentration.

Answer:

Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped

Answer:

i would say a but i could be wrong

Step-by-step explanation:

Answer:

Piecewise functions are functions that behave differently in different regions of the domain.

One example that you may see in your city is the case of the street illumination, such that can be modeled as:

x = time

Suppose that the lights are turned on at a given hour x0 and then turn off at the hour x1, we can define:

f(x) = 0 if x1 < x < x0

f(x) = 1 if x0 ≤ x ≤ x1

Where f(x) represents the intensity of the light at the time x.

Between x1 and x0, the lights are not working, so the illumination that they provide is zero.

Between x0 and x1 the lights are turned on, so the illumination is 1.

Another example can be the accurate description of the velocity of a car as a function of time.

For some pieces, the car will be stopped (maybe in a red light)

For some pieces, the car will be moving slow (maybe there is a lot of traffic)

For some pieces, the car will be moving fast or accelerating (in an empty street).

So we can define this motion as a piecewise function that obviously will depend on how the car moves.

Answer:

D. 58

Step-by-step explanation:

pretty easy clap

bisecting is midpoint which makes the two angles congruent

Answer:

6

Step-by-step explanation:

A way to answer these questions like I usually do is to subtract the result by the number you already know, like this;    10-4=6, so 6 would be what X equals, or you can just take the long way and keep guessing what the answer would be and keep doing the problems, but that would be very time consuming so I would recommend just doing the subtraction method!

Hope this helps!

Answer:

x = 6

Step-by-step explanation:

x + 4  = 10

=> x = 10 - 4

=> x = 6

Answer:

Step-by-step explanation:

Thank you ☺️☺️☺️

Simple answer.

You will have to replace a, with the given numbers.

For the 1st one)

70-25² since a=25. 70-625=-55

2nd)

70-1²=70-1=69

3d)

70-10²=70-100=-30

Hope this helped.

Answer:

The constant of proportionality is 2 it is y=2x

Step-by-step explanation:

Each time the number goes up it goes up by two i hope this helps have a nice day

Answer:

Not equal to.

Step-by-step explanation:

Answer:

[tex]5\leq x\leq 40[/tex]

Here, [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far

Step-by-step explanation:

Number of cookies made by Walter so far = 15

He is asked by his coach to make at least 20 cookies but no more than 55.

Let [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far.

The inequality is [tex]20\leq x+15\leq 55[/tex]

Now solve this inequality.

[tex]20\leq x+15\leq 55\\20-15\leq x\leq 55-15\\5\leq x\leq 40[/tex]

Answer: a

Step-by-step explanation: because its right

Answer:

From the information given, you can write the following system of equations:

x+y+z=16 (1)

5x+4.5y+5.5z=82 (2)

z=x+y (3)

You can replace (3) in (1) and (2):

x+y+x+y=16

2x+2y=16 (4)

5x+4.5y+5.5(x+y)=82

5x+4.5y+5.5x+5.5y=82

10.5x+10y=82 (5)

Now, you have the following equations:

2x+2y=16 (4)

10.5x+10y=82 (5)

You can isolate x in (4):

2x=16-2y

x=8-y (6)

Then, you have to replace (6) in (5):

10.5(8-y)+10y=82

84-10.5y+10y=82

84-82=10.5y-10y

2=0.5y

y=2/0.5

y=4

Now, you can replace the value of y in (6) to find x:

x=8-4

x=4

Finally, you can replace the vaue of x and y in (3) to find z:

z=4+4

z=8

According to this, she should buy 4 apple pies, 4 banana pies and 8 chocolate pies.

Answer:

my life hurts now

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

GET A BOOK U MORON

Answer:

took me time to try and answer your question hope it proves helpful

Answer:

[tex]P(X\geq 2) = 0.375[/tex]

Step-by-step explanation:

Given

X   ------0 --------1 -------- 2--------- 3

P(X) --.1875 -.4375 ---.3125 --- .0625

Required

Determine [tex]P(X\geq 2)[/tex]

This is calculated as:

[tex]P(X\geq 2) = P(X = 2) + P(X = 3)[/tex]

[tex]P(X\geq 2) = 0.3125 + 0.0625[/tex]

[tex]P(X\geq 2) = 0.375[/tex]